The power of the normal bundle associated to an immersion of $RP^n$, its complexification and extendibility

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概要

• 論文の詳細を見る

• The purpose of this paper is to establish the formulas on the power of the normal bundle associated to an immersion of the real projective space $\RP^n$ in the Euclidean space $\R^{n+k}$, and apply them to the problem of extendibility and stable extendibility. Furthermore, we give an example of a $2$-dimensional $\R$-vector bundle over $\RP^2$ that is stably extendible to $\RP^3$ but is not extendible to $\RP^3$.

• 広島大学の論文

著者

• Hemmi Yutaka

  Dept Of Math Faculty Of Science Kochi University

• Min Lwin

  Dept Of Math Graduate School Of Science Kochi University

• Kobayashi Teiichi

  Asakura-ki, Kochi

• Kobayashi Teiichi

  Asakura-ki 292-21 Kochi

関連論文

• The power of the normal bundle associated to an immersion of $RP^n$, its complexification and extendibility
• Extendibility and stable extendibility of vector bundles over lens spaces mod 3
• Extendibility, stable extendibility and span of some vector bundles over lens spaces mod 3

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